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Finding the Fourth Proportional to 378.50, 522.33 and 223.25

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Solution

The fourth proportional to 378.50, 522.33 and 223.25 is: 308.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 522.33 = 223.25 : x
  2. Step 2: Convert to fraction form
    378.50/522.33 = 223.25/x
  3. Step 3: Cross multiply
    378.50x = 522.33 × 223.25
  4. Step 4: Simplify right side
    378.50x = 116,610.17
  5. Step 5: Solve for x
    x = 116,610.17/378.50
  6. Step 6: Final answer
    x = 308.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.